Preprint 2000-049

High Resolution Nonoscillatory Central Difference Schemes for the 2D Euler Equations via Artificial Compression

Knut-Andreas Lie and Sebastian Noelle


Abstract: We suggest to augment second-order, nonoscillatory, central difference schemes with Harten's artificial compression method (ACM) to sharpen the resolution of linear fields. ACM employs a partial characteristic decomposition to single out the linear fields, for which a steeper reconstruction is applied. The remarkable power of this technique is demonstrated for three test problems for the Euler equations from gas dynamics, and its dangers are pointed out.


Paper:
Available as PostScript (1.3 Mbytes) or gzipped PostScript (277 Kbytes; uncompress using gunzip).
Author(s):
Knut-Andreas Lie, <Knut-Andreas.Lie@math.sintef.no>
Sebastian Noelle, <noelle@igpm.rwth-aachen.de>
Publishing information:
Accepted in the Proceedings of the 11th ECMI Conference
Comments:
Revised version, May 2001.
Submitted by:
<Knut-Andreas.Lie@math.sintef.no> December 8 2000.


[ 1996 | 1997 | 1998 | 1999 | 2000 | All Preprints | Preprint Server Homepage ]
© The copyright for the following documents lies with the authors. Copies of these documents made by electronic or mechanical means including information storage and retrieval systems, may only be employed for personal use.

Conservation Laws Preprint Server <conservation@math.ntnu.no>
Last modified: Wed May 23 14:22:07 MET DST 2001